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Finding the Fourth Proportional to 723.24, 997.53 and 471.22

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Solution

The fourth proportional to 723.24, 997.53 and 471.22 is: 649.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.24 : 997.53 = 471.22 : x
  2. Step 2: Convert to fraction form
    723.24/997.53 = 471.22/x
  3. Step 3: Cross multiply
    723.24x = 997.53 × 471.22
  4. Step 4: Simplify right side
    723.24x = 470,056.09
  5. Step 5: Solve for x
    x = 470,056.09/723.24
  6. Step 6: Final answer
    x = 649.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.